Finding the Third Proportional to 13,842.75 and 30,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.75 : 30,540.50 = 30,540.50 : x
2. Step 2: Convert to fraction form
   13,842.75/30,540.50 = 30,540.50/x
3. Step 3: Cross multiply
   13,842.75x = 30,540.50 × 30,540.50
4. Step 4: Simplify right side
   13,842.75x = 932,722,140.25
5. Step 5: Solve for x
   x = 932,722,140.25/13,842.75
6. Step 6: Final answer
   x = 67,379.83